What is 5/9 plus 5/10 in fraction?
5/9 plus 5/10 equals to 19/18 in fraction form.
Learn how to find what is 5/9 plus 5/10 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 5/10 as a fraction and decimal.
Summary: 5/9 plus 5/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 5/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 90 is the LCM of 9 and 10. Multiply the LCM 90 with all the numerators and denominators of both fractions (5/9 x 90/90) + (5/10 x 90/90) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 95/90.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 5/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/9 plus 5/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/9+5/10 using LCM Method:
What is 5/9 plus 5/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/10
What to be found?
5/9+5/10 = ?
Find what's the sum of 5/9 and 5/10.
step 2 Compare the denominators of fractions 5/9 and 5/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 5/10 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 5/9 and 5/10:
The LCM of 9 and 10 is 90.
step 4 Write the fractions 5/9 and 5/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9+5/10
=(5 x 90)/(9 x 90)+(5 x 90)/(10 x 90)
step 5 Simplify the expression to have common denominator:
=50/90+45/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (50/1+45/1)
=1/90 x (50 + 45)
step 7Simplify the above expression further:
=1/90 x 95
= 95/90
=19/18
5/9+5/10=19/18
Hence,
5/9 plus 5/10 equals to 19/18 in fraction.
5/9+5/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 5/10
What to be found?
5/9+5/10 = ?
Find what's the sum of 5/9 and 5/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 10) and rewrite the equation as like the below:
= (5 x 10) + (5 x 9)/(9 x 10)
step 3 Simplify and rewrite the fraction:
= (50 + 45)/90
= 95/90
= 19/18
5/9+5/10 = 19/18
Hence,
5/9 plus 5/10 = 19/18